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| Hardcover ISBN: | 978-1-4704-1112-1 |
| Product Code: | PSPUM/89 |
| List Price: | $139.00 |
| MAA Member Price: | $125.10 |
| AMS Member Price: | $111.20 |
| eBook ISBN: | 978-1-4704-2266-0 |
| Product Code: | PSPUM/89.E |
| List Price: | $135.00 |
| MAA Member Price: | $121.50 |
| AMS Member Price: | $108.00 |
| Hardcover ISBN: | 978-1-4704-1112-1 |
| eBook ISBN: | 978-1-4704-2266-0 |
| Product Code: | PSPUM/89.B |
| List Price: | $274.00 $206.50 |
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Book DetailsProceedings of Symposia in Pure MathematicsVolume: 89; 2015; 339 ppMSC: Primary 37; 60
This volume contains the proceedings of the semester-long special program on Hyperbolic Dynamics, Large Deviations and Fluctuations, which was held from January–June 2013, at the Centre Interfacultaire Bernoulli, École Polytechnique Fédérale de Lausanne, Switzerland.
The broad theme of the program was the long-term behavior of dynamical systems and their statistical behavior. During the last 50 years, the statistical properties of dynamical systems of many different types have been the subject of extensive study in statistical mechanics and thermodynamics, ergodic and probability theories, and some areas of mathematical physics. The results of this study have had a profound effect on many different areas in mathematics, physics, engineering and biology.
The papers in this volume cover topics in large deviations and thermodynamics formalism and limit theorems for dynamic systems.
The material presented is primarily directed at researchers and graduate students in the very broad area of dynamical systems and ergodic theory, but will also be of interest to researchers in related areas such as statistical physics, spectral theory and some aspects of number theory and geometry.
ReadershipGraduate students and research mathematicians interested in dynamical systems, ergodic theory, statistical mechanics, and mathematical physics.
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Table of Contents
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Articles
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Dmitry Dolgopyat, Yakov Pesin, Mark Pollicott and Luchezar Stoyanov — Introduction
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Large deviations and thermodynamical formalism
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Jérôme Buzzi — The almost Borel structure of diffeomorphisms with some hyperbolicity
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Yuri Kifer — Lectures on large deviations in probability and dynamical systems
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Omri M. Sarig — Thermodynamic formalism for countable Markov shifts
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Limit theorems for dynamical systems
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Giovanni Forni — Limit theorems for horocycle flows
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Sébastien Gouëzel — Limit theorems in dynamical systems using the spectral method
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Jens Marklof — Kinetic limits of dynamical systems
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Additional topics
-
Dmitry Dolgopyat and Bassam Fayad — Limit theorems for toral translations
-
Yves Guivarc’h — Spectral gap properties and limit theorems for some random walks and dynamical systems
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Jacopo De Simoi and Carlangelo Liverani — The martingale approach after Varadhan and Dolgopyat
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Additional Material
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RequestsReview Copy – for publishers of book reviewsPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
- Book Details
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This volume contains the proceedings of the semester-long special program on Hyperbolic Dynamics, Large Deviations and Fluctuations, which was held from January–June 2013, at the Centre Interfacultaire Bernoulli, École Polytechnique Fédérale de Lausanne, Switzerland.
The broad theme of the program was the long-term behavior of dynamical systems and their statistical behavior. During the last 50 years, the statistical properties of dynamical systems of many different types have been the subject of extensive study in statistical mechanics and thermodynamics, ergodic and probability theories, and some areas of mathematical physics. The results of this study have had a profound effect on many different areas in mathematics, physics, engineering and biology.
The papers in this volume cover topics in large deviations and thermodynamics formalism and limit theorems for dynamic systems.
The material presented is primarily directed at researchers and graduate students in the very broad area of dynamical systems and ergodic theory, but will also be of interest to researchers in related areas such as statistical physics, spectral theory and some aspects of number theory and geometry.
Graduate students and research mathematicians interested in dynamical systems, ergodic theory, statistical mechanics, and mathematical physics.
-
Articles
-
Dmitry Dolgopyat, Yakov Pesin, Mark Pollicott and Luchezar Stoyanov — Introduction
-
Large deviations and thermodynamical formalism
-
Jérôme Buzzi — The almost Borel structure of diffeomorphisms with some hyperbolicity
-
Yuri Kifer — Lectures on large deviations in probability and dynamical systems
-
Omri M. Sarig — Thermodynamic formalism for countable Markov shifts
-
Limit theorems for dynamical systems
-
Giovanni Forni — Limit theorems for horocycle flows
-
Sébastien Gouëzel — Limit theorems in dynamical systems using the spectral method
-
Jens Marklof — Kinetic limits of dynamical systems
-
Additional topics
-
Dmitry Dolgopyat and Bassam Fayad — Limit theorems for toral translations
-
Yves Guivarc’h — Spectral gap properties and limit theorems for some random walks and dynamical systems
-
Jacopo De Simoi and Carlangelo Liverani — The martingale approach after Varadhan and Dolgopyat
